3 From a random sample of 65 people in a certain town, the proportion who own a bicycle was noted. From this result an \(\alpha \%\) confidence interval for the proportion, \(p\), of all people in the town who own a bicycle was calculated to be \(0.284 < p < 0.516\).
- Find the proportion of people in the sample who own a bicycle.
- Calculate the value of \(\alpha\) correct to 2 significant figures.